828511249 has 2 divisors, whose sum is σ = 828511250. Its totient is φ = 828511248.

The previous prime is 828511163. The next prime is 828511259. The reversal of 828511249 is 942115828.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 592581649 + 235929600 = 24343^2 + 15360^2 .

It is a cyclic number.

It is not a de Polignac number, because 828511249 - 2¹⁷ = 828380177 is a prime.

It is not a weakly prime, because it can be changed into another prime (828511259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414255624 + 414255625.

It is an arithmetic number, because the mean of its divisors is an integer number (414255625).

Almost surely, 2^828511249 is an apocalyptic number.

It is an amenable number.

828511249 is a deficient number, since it is larger than the sum of its proper divisors (1).

828511249 is an equidigital number, since it uses as much as digits as its factorization.

828511249 is an evil number, because the sum of its binary digits is even.

The product of its digits is 46080, while the sum is 40.

The square root of 828511249 is about 28783.8713344817. The cubic root of 828511249 is about 939.2174145158.

It can be divided in two parts, 82851 and 1249, that added together give a square (84100 = 290²).

The spelling of 828511249 in words is "eight hundred twenty-eight million, five hundred eleven thousand, two hundred forty-nine".